- #1
sukyung
- 3
- 0
Denote Z_n=(0.1.2...n-1)
Then could I generalize the number of homomorphism H:Z_n -> Z_m as
gcd(n, m)=#(H:Z_n -> Z_m) ?
(Don't consider the case H:Z -> Z)
For example #(H: Z_4 -> Z_2)=2
#(H: Z_12 -> Z_5)= 1 (obviously the trivial one)
Then could I generalize the number of homomorphism H:Z_n -> Z_m as
gcd(n, m)=#(H:Z_n -> Z_m) ?
(Don't consider the case H:Z -> Z)
For example #(H: Z_4 -> Z_2)=2
#(H: Z_12 -> Z_5)= 1 (obviously the trivial one)